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3-5 Parallel Lines and Triangles

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Presentation on theme: "3-5 Parallel Lines and Triangles"— Presentation transcript:

1 3-5 Parallel Lines and Triangles

2 Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. There is exactly one line through P parallel to l

3 Triangle Angle-Sum Theorem
The sum of the measures of the angles of a triangle is 180

4 Problem 1: Using the Triangle Angle-Sum Theorem

5 Exterior angle of a polygon: an angle formed by a side and an extension of an adjacent side For each exterior angle of a triangle, the two non adjacent interior angles are its remote interior angles

6 Triangle Exterior Angle Theorem
The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles

7 Problem 3: Using the Triangle Exterior Angle Theorem

8

9 Problem 3: Applying the Triangle Theorems


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